Currently, one of the scientific directions of nonlinear dynamics, fractional
dynamics, has received wide development [1]}. She studies the hereditarity
properties of dynamical systems. Hereditarity (memory) is a property of a dynamic system in which its current state depends on its previous states [2]}. As shown in [1]}, the property of memory can be described using the mathematical apparatus of fractional calculus or using fractional derivative operators. Operators of fractional derivatives have many definitions and unique properties, but all of them, to one degree or another, describe the memory effect that characterizes information about the previous states of the system. This effect predetermines additional degrees of freedom – orders of fractional derivatives [4]}. Such multi-parameter dynamical systems have certain difficulties in description and require special research methods to detect chaotic regimes [5]}.
